TSTP Solution File: NLP143-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NLP143-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 05:27:24 EDT 2022
% Result : Unsatisfiable 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of clauses : 37 ( 13 unt; 0 nHn; 37 RR)
% Number of literals : 61 ( 0 equ; 37 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ fellow(u,v)
| man(u,v) ),
file('NLP143-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ man(u,v)
| human_person(u,v) ),
file('NLP143-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ human_person(u,v)
| organism(u,v) ),
file('NLP143-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ organism(u,v)
| living(u,v) ),
file('NLP143-1.p',unknown),
[] ).
cnf(30,axiom,
( ~ instrumentality(u,v)
| artifact(u,v) ),
file('NLP143-1.p',unknown),
[] ).
cnf(31,axiom,
( ~ artifact(u,v)
| object(u,v) ),
file('NLP143-1.p',unknown),
[] ).
cnf(33,axiom,
( ~ object(u,v)
| nonliving(u,v) ),
file('NLP143-1.p',unknown),
[] ).
cnf(48,axiom,
( ~ frontseat(u,v)
| seat(u,v) ),
file('NLP143-1.p',unknown),
[] ).
cnf(49,axiom,
( ~ seat(u,v)
| furniture(u,v) ),
file('NLP143-1.p',unknown),
[] ).
cnf(50,axiom,
( ~ furniture(u,v)
| instrumentality(u,v) ),
file('NLP143-1.p',unknown),
[] ).
cnf(55,axiom,
( ~ nonliving(u,v)
| ~ living(u,v) ),
file('NLP143-1.p',unknown),
[] ).
cnf(59,axiom,
( ~ be(u,v,w,x)
| equal(w,x) ),
file('NLP143-1.p',unknown),
[] ).
cnf(60,axiom,
( ~ two(u,v)
| member(u,skf10(v,u),v) ),
file('NLP143-1.p',unknown),
[] ).
cnf(61,axiom,
( ~ two(u,v)
| member(u,skf8(v,u),v) ),
file('NLP143-1.p',unknown),
[] ).
cnf(73,axiom,
two(skc6,skc7),
file('NLP143-1.p',unknown),
[] ).
cnf(88,axiom,
( ~ member(skc6,u,skc7)
| fellow(skc6,u) ),
file('NLP143-1.p',unknown),
[] ).
cnf(89,axiom,
( ~ member(skc6,u,skc7)
| frontseat(skc6,skf5(v)) ),
file('NLP143-1.p',unknown),
[] ).
cnf(92,axiom,
( ~ member(skc6,u,skc7)
| be(skc6,skf6(u),u,skf5(u)) ),
file('NLP143-1.p',unknown),
[] ).
cnf(99,plain,
member(skc6,skf10(skc7,skc6),skc7),
inference(res,[status(thm),theory(equality)],[73,60]),
[iquote('0:Res:73.0,60.0')] ).
cnf(100,plain,
member(skc6,skf8(skc7,skc6),skc7),
inference(res,[status(thm),theory(equality)],[73,61]),
[iquote('0:Res:73.0,61.0')] ).
cnf(121,plain,
fellow(skc6,skf8(skc7,skc6)),
inference(res,[status(thm),theory(equality)],[100,88]),
[iquote('0:Res:100.0,88.0')] ).
cnf(122,plain,
frontseat(skc6,skf5(u)),
inference(res,[status(thm),theory(equality)],[99,89]),
[iquote('0:Res:99.0,89.0')] ).
cnf(137,plain,
( ~ object(u,v)
| ~ living(u,v) ),
inference(res,[status(thm),theory(equality)],[33,55]),
[iquote('0:Res:33.1,55.0')] ).
cnf(167,plain,
( ~ member(skc6,u,skc7)
| equal(skf5(u),u) ),
inference(res,[status(thm),theory(equality)],[92,59]),
[iquote('0:Res:92.1,59.0')] ).
cnf(179,plain,
( ~ artifact(u,v)
| ~ living(u,v) ),
inference(res,[status(thm),theory(equality)],[31,137]),
[iquote('0:Res:31.1,137.0')] ).
cnf(223,plain,
equal(skf5(skf8(skc7,skc6)),skf8(skc7,skc6)),
inference(res,[status(thm),theory(equality)],[100,167]),
[iquote('0:Res:100.0,167.0')] ).
cnf(259,plain,
( ~ instrumentality(u,v)
| ~ living(u,v) ),
inference(res,[status(thm),theory(equality)],[30,179]),
[iquote('0:Res:30.1,179.0')] ).
cnf(316,plain,
( ~ furniture(u,v)
| ~ living(u,v) ),
inference(res,[status(thm),theory(equality)],[50,259]),
[iquote('0:Res:50.1,259.0')] ).
cnf(345,plain,
( ~ seat(u,v)
| ~ living(u,v) ),
inference(res,[status(thm),theory(equality)],[49,316]),
[iquote('0:Res:49.1,316.0')] ).
cnf(383,plain,
( ~ frontseat(u,v)
| ~ living(u,v) ),
inference(res,[status(thm),theory(equality)],[48,345]),
[iquote('0:Res:48.1,345.0')] ).
cnf(422,plain,
~ living(skc6,skf5(u)),
inference(res,[status(thm),theory(equality)],[122,383]),
[iquote('0:Res:122.0,383.0')] ).
cnf(427,plain,
~ organism(skc6,skf5(u)),
inference(res,[status(thm),theory(equality)],[11,422]),
[iquote('0:Res:11.1,422.0')] ).
cnf(430,plain,
~ human_person(skc6,skf5(u)),
inference(res,[status(thm),theory(equality)],[4,427]),
[iquote('0:Res:4.1,427.0')] ).
cnf(433,plain,
~ man(skc6,skf5(u)),
inference(res,[status(thm),theory(equality)],[3,430]),
[iquote('0:Res:3.1,430.0')] ).
cnf(436,plain,
~ fellow(skc6,skf5(u)),
inference(res,[status(thm),theory(equality)],[2,433]),
[iquote('0:Res:2.1,433.0')] ).
cnf(438,plain,
~ fellow(skc6,skf8(skc7,skc6)),
inference(spl,[status(thm),theory(equality)],[223,436]),
[iquote('0:SpL:223.0,436.0')] ).
cnf(440,plain,
$false,
inference(mrr,[status(thm)],[438,121]),
[iquote('0:MRR:438.0,121.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NLP143-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 1 01:06:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 344 clauses, backtracked 0 clauses, performed 0 splits and kept 364 clauses.
% 0.19/0.45 SPASS allocated 63386 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.45 0:00:00.04 for the input.
% 0.19/0.45 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.01 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.02 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 12, length 37 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : clause2 clause3 clause4 clause11 clause30 clause31 clause33 clause48 clause49 clause50 clause55 clause59 clause60 clause61 clause73 clause88 clause89 clause92
% 0.19/0.45
%------------------------------------------------------------------------------